Feedback control of the Kuramoto-Sivashinsky equation

Antonios Armaou, Panagiotis D. Christofides

Research output: Contribution to journalArticlepeer-review

92 Scopus citations

Abstract

This work focuses on linear finite-dimensional output feedback control of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of the instability parameter. The controllers are synthesized on the basis of finite-dimensional approximations of the KSE which are obtained through Galerkin's method. The performance of the controllers is successfully tested through computer simulations.

Original languageEnglish (US)
Pages (from-to)49-61
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume137
Issue number1-2
DOIs
StatePublished - Mar 1 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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